Abstract
In Geom Dedicata 58 (1995), 91–100, the author tried to classify generalized quadrangles with a collineation group acting transitively on ordered pentagons. Unfortunately, this paper contains several mistakes. The main result is affected such that there now is an additional compact connected quadrangle (and its dual) with a 5-gon transitive group. I am indebted to Martin Wolfrom who pointed out the error and offered a correction.
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References
Dieudonné, J.: La géométrie des groupes classiques, Springer-Verlag, New York, Heidelberg, Berlin, 1973.
Joswig, M.: Generalized polygons with highly transitive collineation groups, Geom. Dedicata 58 (1995), 91- 100.
Tits, J.: Buildings of Spherical Type and Finite BN-pairs, Springer-Verlag, New York, Heidelberg, Berlin, 1974.
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Joswig, M. Correction: Generalized Polygons with Highly Transitive Collineation Groups. Geometriae Dedicata 72, 217–220 (1998). https://doi.org/10.1023/A:1005041420574
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DOI: https://doi.org/10.1023/A:1005041420574